Assume that it costs a company approximately C(x) = 400,000 + 120x + 0.002x2 dollars to manufacture x smartphones in an hour. (a) Find the marginal cost function. Use it to estimate how fast the cost is increasing when x = 10,000. $ per smartphone Compare this with the exact cost of producing the 10,001st smartphone. The cost is increasing at a rate of $ per smartphone. The exact cost of producing the 10,001st smartphone is $ . Thus, there is a difference of 2$ (b) Find the average cost function C and the average cost to produce the first 10,000 smartphones. (x) = C(10,000) = $ (c) Using your answers to parts (a) and (b), determine whether the average cost is rising or falling at a production level of 10,000 smartphones. The marginal cost from (a) is ---Select--- 8 than the average cost from (b). This means that the average cost is ---Select--- e at a production level of 10,000 smartphones.
Assume that it costs a company approximately C(x) = 400,000 + 120x + 0.002x2 dollars to manufacture x smartphones in an hour. (a) Find the marginal cost function. Use it to estimate how fast the cost is increasing when x = 10,000. $ per smartphone Compare this with the exact cost of producing the 10,001st smartphone. The cost is increasing at a rate of $ per smartphone. The exact cost of producing the 10,001st smartphone is $ . Thus, there is a difference of 2$ (b) Find the average cost function C and the average cost to produce the first 10,000 smartphones. (x) = C(10,000) = $ (c) Using your answers to parts (a) and (b), determine whether the average cost is rising or falling at a production level of 10,000 smartphones. The marginal cost from (a) is ---Select--- 8 than the average cost from (b). This means that the average cost is ---Select--- e at a production level of 10,000 smartphones.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Assume that it costs a company approximately
C(x) = 400,000 + 120x + 0.002x?
dollars to manufacture x smartphones in an hour.
(a) Find the marginal cost function.
Use it to estimate how fast the cost is increasing when x =
10,000.
per smartphone
Compare this with the exact cost of producing the 10,001st smartphone.
The cost is increasing at a rate of $
per smartphone. The exact cost of producing the 10,001st smartphone is $
Thus, there is a difference of
$
(b) Find the average cost function C and the average cost to produce the first 10,000 smartphones.
C(x)
C(10,000) = $
(c) Using your answers to parts (a) and (b), determine whether the average cost is rising or falling at a production level of 10,000 smartphones.
The marginal cost from (a) is ---Select--- O than the average cost from (b). This means that the average cost is ---Select---
O at a production level of 10,000 smartphones.
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